2168074057920 has 448 divisors, whose sum is σ = 7137612303360. Its totient is φ = 557148782592.

The previous prime is 2168074057913. The next prime is 2168074057991. The reversal of 2168074057920 is 297504708612.

It is a happy number.

It is a super-3 number, since 3×2168074057920³ (a number of 38 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2541704214 + ... + 2541705066.

It is an arithmetic number, because the mean of its divisors is an integer number (15932170320).

Almost surely, 2^{2168074057920} is an apocalyptic number.

2168074057920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2168074057920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3568806151680).

2168074057920 is an abundant number, since it is smaller than the sum of its proper divisors (4969538245440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2168074057920 is a wasteful number, since it uses less digits than its factorization.

2168074057920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1512 (or 1502 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 51.

The spelling of 2168074057920 in words is "two trillion, one hundred sixty-eight billion, seventy-four million, fifty-seven thousand, nine hundred twenty".